In this topic you will explore the following concepts Measurement in right angled triangles, the sine, cosine, and tangent ratios, angles of elevation and depression Both Pythagoras & Trigonometry play an important role in everyday life. They are integral to fields such as (not limited to) construction, navigation, planning, engineering, surveying, forestry, analysis of stock markets, design and packaging.
VOCABULARY: trigonometry, hypotenuse, angle, opposite, adjacent, sine, cosine, tangent, theta (θ) , Inverse, bearings, angle of elevation, angle of depression
Abbreviations eso – every second one LHS – left hand side RHS – right hand side CAS – graphics calculator
Classroom Activities
Consolidation Tasks
Enrichment & Extension Activities
Extra
1
Learning Outcomes – What is Trigonometry
Students will name the sides of the right-angled triangles using the words hypotenuse, opposite, adjacent
Students will recite the sin, cos, tan ratios
Students will select the appropriate sin, cos, tan ratio to use
Notes Pg 283 Ex 6E Q1, Q2, Q4, Q5, Q6, Q7, Q8
Worksheet 6E – 1 Labelling sides in right-angled triangles
Review today’s learning outcomes & complete any work not finished
2
Learning Outcomes - Calculating unknown side lengths
Students will compute the sin, cos, tan of angles
Students will select the appropriate sin, cos, tan ratio to use to find the side length of a triangle
Students will then apply the sin, cos, tan ratios to find the side lengths of a triangle
Worked Examples Pg 290 Ex 6F Q1, Q4, Q5, Q6, Q7ab, Q8
Get your work checked off
Puzzle sheet 12.4
see hmwk
complete the mymathsonline homework
Bring the printout of results to class
Ex 6F Q7, Q9, Q10, Q11
Review today’s learning outcomes & complete any work not finished
3
Learning Outcomes - Calculating Angles Students will use the inverse function on their calculator to determine the angle inside a triangle
Notes & Worked Examples Pg 296 Ex 6G Q1, Q2, Q3eso, Q4, Q5
Puzzle sheet 12.5
Ex 6G Q6
complete the mymathsonline homework
Bring the printout of results to class
Complete, review and revise
4
Angles of Elevation & angles of Depression Students will, by drawing a picture, show their understanding of ‘angle of elevation’ and ‘angle of depression’ Students will apply the appropriate trigonometric ratio to solve worded problems
Worked Examples Pg 305 Ex 6I Q1~ Q10
Get your work checked off
Review bearings
Ex 6I Q12
Check the mymathsonline site for some revision work and complete the tasks set
Measurement in right angled triangles, the sine, cosine, and tangent ratios, angles of elevation and depression
Both Pythagoras & Trigonometry play an important role in everyday life. They are integral to fields such as (not limited to) construction, navigation, planning, engineering, surveying, forestry, analysis of stock markets, design and packaging.
trigonometry, hypotenuse, angle, opposite, adjacent, sine, cosine, tangent, theta (θ) , Inverse, bearings, angle of elevation, angle of depression
eso – every second one
LHS – left hand side RHS – right hand side
CAS – graphics calculator
Pg 283
Ex 6E Q1, Q2, Q4, Q5, Q6, Q7, Q8
Labelling sides in right-angled triangles
Pg 290
Ex 6F Q1, Q4, Q5, Q6, Q7ab, Q8
Get your work checked off
see hmwk
complete the mymathsonline homework
Bring the printout of results to class
Students will use the inverse function on their calculator to determine the angle inside a triangle
Pg 296 Ex 6G Q1, Q2, Q3eso, Q4, Q5
complete the mymathsonline homework
Bring the printout of results to class
Students will, by drawing a picture, show their understanding of ‘angle of elevation’ and ‘angle of depression’
Students will apply the appropriate trigonometric ratio to solve worded problems
Pg 305 Ex 6I Q1~ Q10
Get your work checked off
Check the mymathsonline site for some revision work and complete the tasks set
Bring the printout of results to class